Evaluate -1^4

Problem

−1

Solution

1. Identify the order of operations. According to the rules of exponents, the exponent applies only to the base immediately to its left.

2. Recognize that in the expression −1 the base is 1 not −1 The negative sign acts as a multiplication by −1 after the exponentiation.

3. Evaluate the power by multiplying the base by itself four times.

1=1⋅1⋅1⋅1

1=1

4. Apply the negative sign to the result of the exponentiation.

−(1)=−1

Final Answer

−1=−1

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